Geodesic
Knots in $S^2 \times S^1$ derived from Sym(2, ℝ)
Fundamenta Mathematicae, Tome 164 (2000) no. 3, pp. 241-252.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We realize closed geodesics on the real conformal compactification of the space V = Sym(2, ℝ) of all 2 × 2 real symmetric matrices as knots or 2-component links in $S^2 × S^1$ and show that these knots or links have certain types of symmetry of period 2.
DOI : 10.4064/fm-164-3-241-252
Keywords: geodesic, symmetric matrix, Shilov boundary, 2-periodic knot

Sang Youl Lee 1 ; Yongdo Lim 1 ; Chan-Young Park 1

1 
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Sang Youl Lee; Yongdo Lim; Chan-Young Park. Knots in $S^2 \times S^1$ derived from Sym(2, ℝ). Fundamenta Mathematicae, Tome 164 (2000) no. 3, pp. 241-252. doi : 10.4064/fm-164-3-241-252. http://geodesic.mathdoc.fr/articles/10.4064/fm-164-3-241-252/

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